English

The Saito vector field of a germ of complex plane curve

Dynamical Systems 2024-03-12 v1

Abstract

In this article, we prove that an algorithm introduced by the author in a previous work and giving the generic dimension of the moduli space of a germ of curve in the complex plane that is the union of smooth curves, can be used identically to find this dimension for any kind of germ of plane curve.

Keywords

Cite

@article{arxiv.2403.06587,
  title  = {The Saito vector field of a germ of complex plane curve},
  author = {Yohann Genzmer},
  journal= {arXiv preprint arXiv:2403.06587},
  year   = {2024}
}